Question

Please help right away

Answer 1

145

Explanation:

The volume of the rectangular prism bin is area of base * height.

Base/top is a square, so area would be 150 * 150 = 22,500

Thus, volume of bin = 22,500 * 210 = 4,725,000

Using volume of sphere formula and given radius of each ball is 16cm, we can say that

Volume of 1 Ball =
`(4)/(3)\pi r^3 = (4)/(3)\pi (16)^3=17,157.28`

Since, 190% is including the packing, we can take volume of 1 ball (inclusive of packaging) to be 1.9 * 17,157.28 = 32,598.83

How many of this will fit in the bin, we divide bin volume by this:

Number of Balls =
`(4,725,000)/(32,598.83)=144.94`

Rounding, we can say that we can fit 145 balls, 2nd answer choice is right.